Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200bl |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
241025625000000 = 26 · 36 · 510 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15658,109312] |
[a1,a2,a3,a4,a6] |
j |
424580764096/241025625 |
j-invariant |
L |
0.95603651854683 |
L(r)(E,1)/r! |
Ω |
0.47801825947251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55200bb1 110400ct2 11040f1 |
Quadratic twists by: -4 8 5 |